Main idea of the poem across the universe

ludwig van beethoven (/ˈlʊdvɪɡ væn ˈbeɪt(h)oʊvən/ (about this soundlisten); german: [ˈluːtvɪç fan ˈbeːthoːfn̩] (about this soundlisten); baptised 17 december 1770[1] – 26 march 1827) was a german composer and pianist. a crucial figure in the transition between the classical and romantic eras in classical music, he remains one of the most recognized and influential of all composers. his best-known compositions include 9 symphonies; 5 piano concertos; 1 violin concerto; 32 piano sonatas; 16 string quartets; a mass, the missa solemnis; and an opera,

fidelio. his career as a composer is conventionally divided into early, middle, and late periods; the "early" period is typically seen to last until 1802, the "middle" period from 1802 to 1812, and the "late" period from 1812 to his death in 1827.

beethoven was born in bonn, then the capital of the electorate of cologne and part of the holy roman empire. he displayed his musical talents at an early age and was taught by his father johann van beethoven and composer and conductor christian gottlob neefe. at the age of 21 he moved to vienna, where he began studying composition with joseph haydn and gained a reputation as a virtuoso pianist. he lived in vienna until his death.

by his late 20s his hearing began to deteriorate and by the last decade of his life he was almost completely deaf. in 1811 he gave up conducting and performing in public but continued to compose; many of his most admired works come from these last 15 years of his life, commonly known as his "late" period.

x=4, y=4

step-by-step explanation:

y=2x-4;

x+2y=12

we can use substitution since the first equation is solved for y

where ever you see y in the second equation, replace it with 2x-4

x + 2(2x-4) = 12

distribute the 2

x+4x-8 = 12

combine like terms

5x-8=12

add 8 to each side

5x-8+8=12+8

5x=20

divide by 5

5x/5 = 20/5

x =4

we still need to solve for y

y = 2x-4

we know x =4

y = 2(4) -4

y = 8-4

y=4